What uncertainties should I assume when I only know the measured value

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Homework Help Overview

The discussion revolves around determining the propagation uncertainty of a calculated quantity derived from measurements of mass, gravitational acceleration, cap plate separation, and voltage. The original poster lacks information about the uncertainties associated with these measurements and seeks guidance on how to estimate them based solely on the values provided.

Discussion Character

  • Assumption checking, Exploratory

Approaches and Questions Raised

  • The original poster questions whether to assume uncertainties as half of the least significant digit of the measured values. Some participants suggest this approach while emphasizing the importance of significant digits in determining uncertainty magnitude.

Discussion Status

Participants have provided some guidance on estimating uncertainties based on significant digits, but there is no explicit consensus on the best approach. The original poster expresses urgency in resolving the issue, indicating that the discussion is ongoing.

Contextual Notes

The original poster missed the lab and is relying on a simulation program that does not provide uncertainty information. There is uncertainty regarding the correct interpretation of the mass value displayed in the program.

leright
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I need to determine the propagation uncertainty of a calculated quantity (function of the variables mass, acceleration due to gravity, cap plate separation, and voltage), but I do not know the uncertainties of these measurements. I just know the values. What should I take the uncertainty to be? Should I just say +/- 0.5 or +/1 0.1 of the least significant digit? I missed the lab so I didn't actually perform the measurements, and the prof gave me this simulation program of the lab, but the simulation program says nothing about the uncertainties of the measurements.

I am calculating charge from the following equation.

q = (mgd)/v

Examples of the values for the measured data are as follows...

m = 1.x10x-15 kg
v = 125 V
d = 0.01 m
g = 9.81 m/s^2

What should I take the uncertainties to be??
 
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anyone? this is somewhat urgent.
 
That is the best you can do in such a circumstance - half of the least significant digit for each of the values - also for the gravitational acceleration. Just make sure about the amount of significant digits in each of the measurements because that will determine the magnitude of the uncertainty. Like your mass - a larger uncertainty will result from 1x10^-15 kg than from 1.0X10^-15 kg.
 
andrevdh said:
That is the best you can do in such a circumstance - half of the least significant digit for each of the values - also for the gravitational acceleration. Just make sure about the amount of significant digits in each of the measurements because that will determine the magnitude of the uncertainty. Like your mass - a larger uncertainty will result from 1x10^-15 kg than from 1.0X10^-15 kg.

well, the program shows 1x10^15 kg. I dunno. I will ask the prof tommorow I suppose.
 

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